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Answer:

make a proportion:

                        90% - 76.50$

original price is 100% - x$

x=76.50$*100%/90%=85$

Answer: original price is 85$

Step-by-step explanation:

a) The robot take 2 / 35 hour to complete one task.

b) The robot complete 35/2 tasks in one hour.

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts.

Or, A number which is expressed as a quotient is called fraction.

It can be written as the form of p : q, which is equivalent to p / q.

Given that;

A robot can complete 7 tasks in 2/5 hour.

Each task takes the same amount of time.

Now,

Since, 7 tasks = 2/5 hour

So, 1 tasks = 2 / 5×7

                = 2 / 35 hour

Thus, The robot take 2 / 35 hour to complete one task.

And, 2/5 hour = 7 tasks

So, 1 hour = 7 x 5 / 2

               = 35 / 2

Thus, The robot complete 35/2 tasks in one hour.

Therefore,

a) The robot take 2 / 35 hour to complete one task.

b) The robot complete 35/2 tasks in one hour.

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Answer:

The correct option is 'No Solution'.

Step-by-step explanation:

Given the system of the equations

[tex]y=\frac{1}{2}x-1[/tex]

[tex]2x-4y=12[/tex]

solving the system of the equations

[tex]\begin{bmatrix}y=\frac{1}{2}x-1\\ 2x-4y=12\end{bmatrix}[/tex]

[tex]\mathrm{Subsititute\:}y=\frac{1}{2}x-1[/tex]

[tex]\begin{bmatrix}2x-4\left(\frac{1}{2}x-1\right)=12\end{bmatrix}[/tex]

[tex]2x-4\left(\frac{1}{2}x-1\right)=12[/tex]

[tex]2x-2x+4=12[/tex]

[tex]4=12[/tex]

as

4=12 is false, therefore the system of equations has no solution.

Therefore, the correct option is 'No Solution'.

Answer:

The y intercept is 200

Step-by-step explanation:

Given

Base Cost = 200

Per person =8

Required

Determine the y intercept

First, we need to determine the equation.

The total amount (y) for x persons can be calculated using:

y = Base Cost + Amount per person * x.

This gives

y = 200 + 8 * x

y = 200 + 8x

The general expression of a linear equation is:

y = mx + b

Where b = y intercept

By comparison,

b = 200

Hence, the y intercept is 200

Answer: m∠5 = m∠7 = 67°

because a//b => m∠4 + m∠5 = 180°

⇔ 113° + m∠5 = 180°

⇔ m∠5 = 180 - 113 = 67°

because ∠5 and ∠7 are  2 opposing angles

=>  m∠5 = m∠7 = 67°

Step-by-step explanation:

Answer:

Step-by-step explanation:

Angles 4 and 5 are same side interior angles and their measures add up to 180° as per definition:

Angles 5 and 7 are vertical angles and they have equal measure as per definition of vertical angles:

Answer: 1/10

Step-by-step explanation:

I think you mean 3/5 - 1/2?

we need to make the denominators the same, so we find the LCM of 5 and 2, which is 1, so we multiply them to get a common denominator of 10.

Now we multiply 3/5 by 2/2 to get 6/10, and 1/2 by 5/5 to get 5/10.

6/10 - 5/10 = 1/10

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Answer:

4

Step-by-step explanation:

The greatest common factor (GCF)

The greatest common factor of 16 and 100 is 4, and it represents the largest number that can evenly divide both 16 and 100.

Here,

To find the greatest common factor (GCF) of two numbers, we need to identify the largest number that can evenly divide both numbers.

Here's the step-by-step process to find the GCF of 16 and 100:

Step 1: List the factors of each number.

The factors of 16 are 1, 2, 4, 8, and 16.

The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100.

Prime factorization of 16:

16 = 2 * 2 * 2 * 2

Prime factorization of 100:

100 = 2 * 2 * 5 * 5

Step 2: Identify the common factors.

The common factors of 16 and 100 are 1, 2, 4.

Step 3: Find the greatest common factor.

Among the common factors, the greatest common factor (GCF) is the largest one, which is 4.

So, the GCF of 16 and 100 is 4.

In conclusion, the greatest common factor of 16 and 100 is 4, and it represents the largest number that can evenly divide both 16 and 100.

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Answer:

0.449

Step-by-step explanation:

one hundreth is this 0.100 so if u take that away from 0.549 u get 449

Answer:

On this day, 1/2, or 50%, of the crew was present.

Step-by-step explanation:

Simplify: 18/36 = 1/2

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Answer:

18 gallons of paint could paint 10 classrooms.

Step-by-step explanation:

Given that the school bought 18 gallons of paint, and that each classroom requires 1 4/5 of paint to be painted, to determine how many classrooms can be painted with that amount of paint, the following calculation must be performed:

4/5 = 0.8

1 + 0.8 = 1.8

18 / 1.8 = 10

Therefore, 18 gallons of paint could paint 10 classrooms.

Answer:

1681

Step-by-step explanation:

In a four digit perfect square, the first two digits and last two digits taken seperately are also perfect squares.

Therefore, the answer is 1681 because 1681=41*41 and

16=4*4 and 81=9*9

It seems like σ(t) is the positive function of the particle. Compute its acceleration by differentiating this function twice.

σ(t) = {t ², sin(t ), cos(t )}

σ'(t) = {2t, cos(t ), -sin(t )}

σ''(t) = {2, -sin(t ), -cos(t )}

When t = 0, the acceleration on the particle is

σ'' (0) = {2, -sin(0), -cos(0)} = {2, 0, -1}

Then the force acting on the particle at time t = 0 is

F = {2m, 0, -m}

by Newton's second law.

Answer:

The answer is 50 or 55.

Step-by-step explanation:

Answer:

The answer is 50

Step-by-step explanation:

i did test on edg

Answer:

5.35$ worth

Step-by-step explanation:

Answer:

41

Step-by-step explanation:

Jus replace x with 3 and put it in a calculator.

Answer:

8. D

10. D

12. B

if the lines are parallel, then the slopes are the same. if it's a perpendicular line then the slope is the opposite reciprocal.

Answer:

Step-by-step explanation:

The gcf of 9 and 45 can be obtained like this: The factors of 9 are 9, 3, 1. The factors of 45 are 45, 15, 9, 5, 3, 1. The common factors of 9 and 45 are 9, 3, 1, intersecting the two sets above

Answer:

Step-by-step explanation:

If 1 /20  will not bear fruit then

  19/20.  Will bear fruit

use ratio method

19/20  = x/200

find x by finding an equivalent fraction

x = 190

190 plants will produce fruit

Answer:

12

Step-by-step explanation:

Answer: 12

Step-by-step explanation:

Answer:

9, 12, 13, 21

Step-by-step explanation:

let x be the third side, then

difference of 2 given sides < x < sum of 2 given sides , that is

15 - 10 < x < 15 + 10

5 < x < 25

The possible side lengths for the third side from the given list are

9, 12, 13, 21

Answer:

14

Step-by-step explanation:

Range = Maximum value - minimum value

          = 6 - (-8)

          = 6 + 8

           =  14

Answer:

8- -5 -3 -2 0 1 4 6

Answer: 24 schedules.

Step-by-step explanation:

Given data:

Courses planning to take = 4

Computer courses = 2

Courses from other areas = 2

Solution:

This problem can be solved using permutation.

For Computer science courses.

npr = n! / ( n - r )!

Where n = 4

r = 2

4p2 = 4!/( 4-2)!

= 4!/2!

= 12

For other courses.

Where n = 4

r = 2

4p2 = 4!/( 4-2)!

= 4!/2!

= 12

Jane can have a total of 24 different schedules.

Answer:

prime: 17 47 67

Composite: 25 48 99 161 171

25: 1,5,25

48: 1,2,4,6,8,12,24,48

99: 1, 3, 9, 11, 33, 99

161: 1, 7, 23, 16

171: 1,3,9,19,57,171,

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Answer:

A parallelogram is a rectangle if and only if its diagonals are congruent. A rectangle is a parallelogram with four right angles. A rhombus is a parallelogram with four congruent sides. If a parallelogram has two consecutive sides congruent, it is a rhombus.

Step-by-step explanation: